Question

At the same theater, a 16-ounce soda costs $3 and a 32-ounce soda costs $5. If the theater sells 12,480 ounces of soda for $2100, how many people bought soda?

Answer 1

540 people bought soda

Explanation:

Let

x ----> the number of a 16-ounce soda

y ----> the number of a 32-ounce soda

we know that

`16x+32y=12,480` ----> equation A

`3x+5y=2,100` ----> equation B

Solve the system by graphing

The solution is the intersection point both graphs

The solution is the point (300,240)

see the attached figure

therefore

300+240=540

540 people bought soda